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Finding the Fourth Proportional to 12,753.80, 17,601.23 and 7,089.02

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Solution

The fourth proportional to 12,753.80, 17,601.23 and 7,089.02 is: 9,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.80 : 17,601.23 = 7,089.02 : x
  2. Step 2: Convert to fraction form
    12,753.80/17,601.23 = 7,089.02/x
  3. Step 3: Cross multiply
    12,753.80x = 17,601.23 × 7,089.02
  4. Step 4: Simplify right side
    12,753.80x = 124,775,348.04
  5. Step 5: Solve for x
    x = 124,775,348.04/12,753.80
  6. Step 6: Final answer
    x = 9,783.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.